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fractions

Author Message
Intern
Joined: 29 Jul 2018
Posts: 9
Location: India
GPA: 3.27
WE: Analyst (Consulting)

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16 Sep 2018, 00:41
00:00

Difficulty:

(N/A)

Question Stats:

50% (00:32) correct 50% (01:19) wrong based on 2 sessions

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For each positive integer n, the nth term of a certain sequence is defined by \small x_{n}=\frac{1}{n} - \frac{1}{n + 1}. What is the sum of the first 100 terms of this sequence?

a) 0
b) 1/10,000
c) 99/100
d) 100/101
e) 1
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1025
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)

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16 Sep 2018, 00:48
amoghgupta wrote:
For each positive integer n, the nth term of a certain sequence is defined by \small x_{n}=\frac{1}{n} - \frac{1}{n + 1}. What is the sum of the first 100 terms of this sequence?

a) 0
b) 1/10,000
c) 99/100
d) 100/101
e) 1

Bunuel can you edit the question. Not able to see the question properly.
Math Expert
Joined: 02 Sep 2009
Posts: 59632

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16 Sep 2018, 00:52
amoghgupta wrote:
For each positive integer n, the nth term of a certain sequence is defined by \small x_{n}=\frac{1}{n} - \frac{1}{n + 1}. What is the sum of the first 100 terms of this sequence?

a) 0
b) 1/10,000
c) 99/100
d) 100/101
e) 1

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Re: fractions   [#permalink] 16 Sep 2018, 00:52
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